Rating service at five-star hotels. A study published in the Journal of American Academy o...

Rating service at five-star hotels. A study published in the Journal of American Academy of Business, Cambridge (March 2002) examined whether the perception of the quality of service at five-star hotels in Jamaica differed by gender. Hotel guests were randomly selected from the lobby and restaurant areas and asked to rate 10 service-related items (e.g., “the personal attention you received from our employees”). Each item was rated on a five-point scale ( 1 = “much worse than I expected,” 5 = “much better than I expected”),and the sum of the items for each guest was determined. A summary of the guest scores is provided in the following table:

a. Construct a 90% confidence interval for the difference between the population mean service-rating scores given by male and female guests at Jamaican five-star hotels.

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b. Use the interval you constructed in part a to make an inference about whether the perception of the quality of service at five-star hotels in Jamaica differs by gender.